{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 非参数估计--K近邻估计\n",
    "### K近邻估计法基本思想：\n",
    "- 预先确定N的一个函数$k_N$，在x点近邻选择一个体积，使其不断增大直至捕获$k_N$个样本\n",
    "### 基本估计公式为：\n",
    "![K近邻](https://img-blog.csdn.net/20170613225949055)\n",
    "其中$V_N=h_N^d$,n代表样本容量。\n",
    "当样本容量$N\\rightarrow\\infty$满足一下三个条件时：\n",
    "1. $V_N=0$\n",
    "2. $k_N=\\infty$\n",
    "3. $k_N/V_N=0$时，p(X)收敛于真实分布。\n",
    "- 同时需要注意的是k_N大小的选择会影响估计的结果，一般我们取$k_N=k_1*\\sqrt{N}$。\n",
    "- 当样本容量$N\\rightarrow\\infty$时，最接近真实结果，所以我们一般取很大的N值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1200x1000 with 6 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def x_y_distance(x,y):\n",
    "    '''\n",
    "    K近邻估计法\n",
    "    :param x:输入点x\n",
    "    :param y:输入点y\n",
    "    :return: 两点间的欧式距离\n",
    "    '''\n",
    "    # d = 0\n",
    "    # dis = x - y\n",
    "    # for z in dis:\n",
    "    #     d += z ** 2\n",
    "    # distance = d**0.5\n",
    "    distance = np.sqrt(np.sum((x - y)*(x - y)))\n",
    "    return distance\n",
    "\n",
    "def knn_estimate(n,x,d):\n",
    "    '''\n",
    "    K近邻估计法\n",
    "    :param n:样本数量\n",
    "    :param x:横坐标\n",
    "    :param d:调节参数\n",
    "    :return: 概率密度\n",
    "    '''\n",
    "    Kn = int(math.sqrt(len(n)))\n",
    "    Px = []\n",
    "    q = Kn/len(n)\n",
    "    for i in x:\n",
    "        hn = []\n",
    "        for j in n:\n",
    "            distance = x_y_distance(i,j)\n",
    "            hn.append(distance)\n",
    "        hn.sort()\n",
    "        if Kn == 1:\n",
    "            Vn = (hn[Kn-1] * 2) ** d\n",
    "        else:\n",
    "            Vn = (hn[Kn] * 2) ** d\n",
    "        Px.append(q/Vn)   #计算公式\n",
    "    return np.array(Px)\n",
    "\n",
    "def get_N(n):\n",
    "    nn = np.random.normal(0,1,n).reshape([-1,1])\n",
    "    return nn\n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    X = np.arange(-5, 5, 0.1).reshape([-1, 1])#reshape([-1,1])将矩阵转化为一列\n",
    "    N = []\n",
    "    result = []\n",
    "    N_number = [1, 16, 256, 1024, 10000, 200000]\n",
    "    for i in range(6):\n",
    "        N_i = get_N(N_number[i])\n",
    "        N.append(N_i)\n",
    "\n",
    "    for i in range(6):\n",
    "        result_i = knn_estimate(N[i],X,d=1)\n",
    "        result.append(result_i)\n",
    "\n",
    "    fig, axes = plt.subplots(2,3, figsize=(12, 10),dpi=100)\n",
    "    ax = axes.ravel()\n",
    "    for i in range(0,6):\n",
    "        ax[i].plot(X,result[i])\n",
    "        ax[i].set_title('N={0}\\nKn={1}'.format(N_number[i],math.sqrt(N_number[i])))\n",
    "    # plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "生成均值为0，方差为1，长度为N的一维正态随机信号"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}